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Finding the Third Proportional to 811,862 and 1,153,946

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Solution

The third proportional to 811,862 and 1,153,946 is: 1,640,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,862 : 1,153,946 = 1,153,946 : x
  2. Step 2: Convert to fraction form
    811,862/1,153,946 = 1,153,946/x
  3. Step 3: Cross multiply
    811,862x = 1,153,946 × 1,153,946
  4. Step 4: Simplify right side
    811,862x = 1,331,591,370,916
  5. Step 5: Solve for x
    x = 1,331,591,370,916/811,862
  6. Step 6: Final answer
    x = 1,640,169.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.